No, smearing poop is not spunk, it's bad behaviour. Smearing food everywhere can be stopped too if you keep telling her it's not a good thing to do. As far as the toys, get rid of the most annoying ones and save your sanity for heaven's sake! When she leaves one toy, make her go back and put it away before moving on to the next one. She's 2 years old and able to understand all of these things. I wouldn't allow that kind of behaviour.
I have a really annoying child in my care who is almost 2 and he repeats the same word over and over until I tell him to stop it, doesn't act like he understands what I'm saying and gives me the deer in the headlight look, but I keep repeating what I'm saying until he does it. It takes a ton of patience but if we don't keep on top of these things and stop the bad behaviour it's going to get worse and worse It isn't cute! It's going to drive you crazy! Never cave, keep on the problem children until you turn them into normal, wonderful little people, whether they like it or not! Just my two cents!